Contractivity and expansivity of H-Toeplitz operators on the Bergman spaces

Sumin Kim; Jongrak Lee

doi:10.3934/math.2022769

Contractivity and expansivity of H-Toeplitz operators on the Bergman spaces

Sumin Kim
, Jongrak Lee

Department of Mathematics

Hanyang University

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

In this paper we consider the properties of H-Toeplitz operators B_φ on the Bergman space L²a(D). We present some necessary and sufficient conditions for the contractive and expansive H-Toeplitz operators B_φ with various symbols φ.

Original language	English
Pages (from-to)	13927-13944
Number of pages	18
Journal	AIMS Mathematics
Volume	7
Issue number	8
DOIs	https://doi.org/10.3934/math.2022769
State	Published - 2022

Keywords

Bergman space
contractive operators
expansive operators
H-Toeplitz operators

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10.3934/math.2022769

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title = "Contractivity and expansivity of H-Toeplitz operators on the Bergman spaces",

abstract = "In this paper we consider the properties of H-Toeplitz operators Bφ on the Bergman space L2a(D). We present some necessary and sufficient conditions for the contractive and expansive H-Toeplitz operators Bφ with various symbols φ.",

keywords = "Bergman space, contractive operators, expansive operators, H-Toeplitz operators",

author = "Sumin Kim and Jongrak Lee",

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year = "2022",

doi = "10.3934/math.2022769",

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T1 - Contractivity and expansivity of H-Toeplitz operators on the Bergman spaces

AU - Kim, Sumin

AU - Lee, Jongrak

PY - 2022

Y1 - 2022

N2 - In this paper we consider the properties of H-Toeplitz operators Bφ on the Bergman space L2a(D). We present some necessary and sufficient conditions for the contractive and expansive H-Toeplitz operators Bφ with various symbols φ.

AB - In this paper we consider the properties of H-Toeplitz operators Bφ on the Bergman space L2a(D). We present some necessary and sufficient conditions for the contractive and expansive H-Toeplitz operators Bφ with various symbols φ.

KW - Bergman space

KW - contractive operators

KW - expansive operators

KW - H-Toeplitz operators

UR - https://www.scopus.com/pages/publications/85131066874

U2 - 10.3934/math.2022769

DO - 10.3934/math.2022769

M3 - Article

AN - SCOPUS:85131066874

SN - 2473-6988

VL - 7

SP - 13927

EP - 13944

JO - AIMS Mathematics

JF - AIMS Mathematics

IS - 8

ER -

Contractivity and expansivity of H-Toeplitz operators on the Bergman spaces

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